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Finding the Third Proportional to 73,014 and 158,422

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Solution

The third proportional to 73,014 and 158,422 is: 343,735.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,014 : 158,422 = 158,422 : x
  2. Step 2: Convert to fraction form
    73,014/158,422 = 158,422/x
  3. Step 3: Cross multiply
    73,014x = 158,422 × 158,422
  4. Step 4: Simplify right side
    73,014x = 25,097,530,084
  5. Step 5: Solve for x
    x = 25,097,530,084/73,014
  6. Step 6: Final answer
    x = 343,735.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.